Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 7 - Section 7.1 - Locus of Points - Exercises - Page 327: 21

Answer

400 by 800 rectangle

Work Step by Step

We know that the memorial must be at least 200 feet away from the boundary of the park. Thus, we find the dimensions of the park: $$ 1200-(2)200=800 \\ AND \\ 800-(2)(200) =400$$ The locus of points is a 400 by 800 rectangle in the center of the rectangular park.
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